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Finding the Fourth Proportional to 166.87, 250.35 and 69.38

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Solution

The fourth proportional to 166.87, 250.35 and 69.38 is: 104.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.87 : 250.35 = 69.38 : x
  2. Step 2: Convert to fraction form
    166.87/250.35 = 69.38/x
  3. Step 3: Cross multiply
    166.87x = 250.35 × 69.38
  4. Step 4: Simplify right side
    166.87x = 17,369.28
  5. Step 5: Solve for x
    x = 17,369.28/166.87
  6. Step 6: Final answer
    x = 104.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.